Solve 0.76=x-0.1/x-0

$$0.76 = \frac { x - 0.1 } { x - 0 }$$

Solve for x

$$x=\frac{5}{12}\approx 0.416666667$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$0.76x=x-0.1$$

Subtract x from both sides.

$$0.76x-x=-0.1$$

Combine 0.76x and -x to get -0.24x.

$$-0.24x=-0.1$$

Divide both sides by -0.24.

$$x=\frac{-0.1}{-0.24}$$

Expand \frac{-0.1}{-0.24} by multiplying both numerator and the denominator by 100.

$$x=\frac{-10}{-24}$$

Reduce the fraction \frac{-10}{-24} to lowest terms by extracting and canceling out -2.

$$x=\frac{5}{12}$$